Ryan and Ethan had a total of $306. Ryan gave $30 to Ethan. In return, Ethan gave
14 of his money to Ryan. In the end, Ryan had five times as much money as Ethan. How much money did Ryan have at first?
| |
Ryan |
Ethan |
Total |
| Before |
|
|
$306 |
| Change 1 |
- $30 |
+ $30 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Ryan
and Ethan
in the end |
5 u |
1 u |
$306 |
The total amount that Ethan and Ryan had remains unchanged.
Total amount in the end
= 5 u + 1 u
= 6 u
6 u = 306
1 u = 306 ÷ 6 = 51
Amount that Ryan has in the end
= 5 u
= 5 x 51
= $255
Amount that Ethan has in the end
= 1 u
= $51
3 p = 1 u = 51
1 p = 51 ÷ 3 = 17
Amount that Ethan gave to Ryan
= 1 p
= 1 x 17
= $17
Amount that Ryan had at first
= 255 - 17 + 30
= $268
Answer(s): $268
